- #1

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## Main Question or Discussion Point

Historically, we know that above any other discipline of physics, quantum mechanics has attracted other types of scientists, such as mathematicians, chemists, specialists in information technology, but also, philosophers of science. While most of their historical contributions are really valuable (think von Neumann or Weyl), it is with considerable regret that I sense that nowadays, in the huge sea of 'which interpretation is better' viewpoints, their contributions are rather distructive, (perhaps I exaggerate here) or at least very challenging.

I recently bumped into an article on the preprints server:

http://arxiv.org/abs/1412.2701v1

thrashing the idea that a (unit) vector of a Hilbert space can represent the state of a physical quantum system. One of the authors is a philosopher, the other a mathematician and. surprisingly, throughout the paper the mathematics of finite-dim. vector spaces (known to be improper for QM) is used. I don't think, however, that the lack of rigor in maths can be the point which turns their paper from a correct one into a wrong one.

Have a read of it, please, and tell me where they go wrong, if anywhere. (As a joking sidepoint: Is there a catholic formalism of QM, too, because the literature is flooded with protestant ones challenging the orthodox one??:D)

Thanks,

:)

I recently bumped into an article on the preprints server:

http://arxiv.org/abs/1412.2701v1

thrashing the idea that a (unit) vector of a Hilbert space can represent the state of a physical quantum system. One of the authors is a philosopher, the other a mathematician and. surprisingly, throughout the paper the mathematics of finite-dim. vector spaces (known to be improper for QM) is used. I don't think, however, that the lack of rigor in maths can be the point which turns their paper from a correct one into a wrong one.

Have a read of it, please, and tell me where they go wrong, if anywhere. (As a joking sidepoint: Is there a catholic formalism of QM, too, because the literature is flooded with protestant ones challenging the orthodox one??:D)

Thanks,

:)